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Finding the Fourth Proportional to 38,854.64, 53,618.20 and 21,859.83

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Solution

The fourth proportional to 38,854.64, 53,618.20 and 21,859.83 is: 30,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,854.64 : 53,618.20 = 21,859.83 : x
  2. Step 2: Convert to fraction form
    38,854.64/53,618.20 = 21,859.83/x
  3. Step 3: Cross multiply
    38,854.64x = 53,618.20 × 21,859.83
  4. Step 4: Simplify right side
    38,854.64x = 1,172,084,359.52
  5. Step 5: Solve for x
    x = 1,172,084,359.52/38,854.64
  6. Step 6: Final answer
    x = 30,165.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.